Question

The linear equation that converts Fahrenheit(F) to Celsius(C) is given by the\ relation $\frac{5F-160}{9}$.
The numerical value of the temperature which is same in both the scales is

• A. 40
• B. 32
• C. -40
• D. -32

Answer 1

The correct option is C -40

To find the temperature which would be of the same numerical value, let the temperature be x

So, putting x on both sides of the given equation for the conversion.

$x=\frac{5x-160}{9}$

$\Rightarrow 9x=5x-160$

$4x=-160$

$x=-40$